Nikolai Kutev

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All published works

Action	Title	Year	Authors
+	Finite and Infinte Time Blow Up of Solutions to Wave Equations with Combined Logarithmic and Power-Type Nonlinearities	2025	Milena Dimova Natalia Kolkovska Nikolai Kutev
+	Blow Up of Solutions to Wave Equations with Combined Logarithmic and Power-Type Nonlinearities	2024	Milena Dimova Natalia Kolkovska Nikolai Kutev
+	Global behavior of the solutions to nonlinear wave equations with combined power-type nonlinearities with variable coefficients	2024	Milena Dimova Natalia Kolkovska Nikolai Kutev
+	Klein-Gordon Equation with Critical Initial Energy and Nonlinearities with Variable Coefficients	2024	Nikolai Kutev Milena Dimova Natalia Kolkovska
+	Improved Hardy Inequality with Logarithmic Term	2024	Nikolai Kutev Tsviatko Rangelov
+	Finite Time Blow Up of the Solutions to Nonlinear Wave Equations with Sign-Changing Nonlinearities	2023	Nikolai Kutev Milena Dimova Natalia Kolkovska
+	Null Non-controllability for Singular and Degenerate Heat Equation with Double Singular Potential	2023	Nikolai Kutev Tsviatko Rangelov
+ PDF Chat	Nonexistence of global solutions to Klein-Gordon equations with variable coefficients power-type nonlinearities	2023	Natalia Kolkovska Milena Dimova Nikolai Kutev
+	Improved Hardy inequality with logarithmic term	2023	Nikolai Kutev Tsviatko Rangelov
+	Theoretical study of nonlinear wave equations with combined power-type nonlinearities with variable coefficients	2023	Milena Dimova Natalia Kolkovska Nikolai Kutev
+	Viscosity solutions and strong maximum principle for weakly coupled cooperative parabolic systems with nonlinear principle part	2023	Georgi Boyadzhiev Nikolai Kutev
+	Finite time blow up of solutions to Klein-Gordon equation with variable coefficients nonlinearities	2023	Natalia Kolkovska Milena Dimova Nikolai Kutev
+	Hardy Inequalities and Applications	2022	Nikolai Kutev Tsviatko Rangelov
+	4 Hardy inequalities in spherical areas	2022	Nikolai Kutev Tsviatko Rangelov
+	5 General Hardy inequalities with optimal constant	2022	Nikolai Kutev Tsviatko Rangelov
+	8 Estimates from below for the first eigenvalue of the p-Laplacian	2022	Nikolai Kutev Tsviatko Rangelov
+	2 Preliminary remarks on Hardy inequalities	2022	Nikolai Kutev Tsviatko Rangelov
+	6 Hardy inequalities with weights singular at an interior point	2022	Nikolai Kutev Tsviatko Rangelov
+	3 Hardy inequalities in abstract form	2022	Nikolai Kutev Tsviatko Rangelov
+	7 Hardy inequalities in star-shaped domains with double singular weights	2022	Nikolai Kutev Tsviatko Rangelov
+	9 Application of Hardy inequalities for some parabolic equations	2022	Nikolai Kutev Tsviatko Rangelov
+ PDF Chat	Control Properties for Heat Equation with Double Singular Potential	2022	Nikolai Kutev Tsviatko Rangelov
+ PDF Chat	Applications of Hardy inequalities for some singular parabolic equations	2022	Nikolai Kutev Tsviatko Rangelov
+	A note on orbital stability of solitary waves to double dispersion equation	2022	Nikolai Kutev Milena Dimova Natalia Kolkovska
+ PDF Chat	Strong interior and boundary maximum principle for weakly coupled linear cooperative elliptic systems	2022	Georgi Boyadzhiev Nikolai Kutev
+ PDF Chat	Strong Maximum Principle for Viscosity Solutions of Fully Nonlinear Cooperative Elliptic Systems	2021	Georgi Boyadzhiev Nikolai Kutev
+	Application of Hardy inequalities for some singular parabolic equations	2021	Nikolai Kutev Tsviatko Rangelov
+ PDF Chat	Orbital Stability of Solitary Waves to Double Dispersion Equations with Combined Power-Type Nonlinearity	2021	Natalia Kolkovska Milena Dimova Nikolai Kutev
+ PDF Chat	Sharp Hardy inequalities in an exterior of a ball	2021	Nikolai Kutev Tsviatko Rangelov
+	Finite Time Blow up of the Solutions to Double Dispersive Equations with Linear Restoring Force and High Energy	2021	Natalia Kolkovska Milena Dimova Nikolai Kutev
+	Control properties for heat equation with double singular potential	2021	Nikolai Kutev Tsviatko Rangelov
+	Global behavior of the solutions to nonlinear Klein-Gordon equation with supercritical energy	2020	Milena Dimova Natalia Kolkovska Nikolai Kutev
+	Hardy inequalities with double singular weights	2020	Nikolai Kutev Tsviatko Rangelov
+ PDF Chat	Global behavior of the solutions to nonlinear Klein-Gordon equation with critical initial energy	2020	Milena Dimova Natalia Kolkovska Nikolai Kutev
+	On the solvability of sixth order nonlinear double dispersive equations	2019	Milena Dimova Natalia Kolkovska Nikolai Kutev
+	Estimates from below for the first eigenvalue of the p–Laplacian	2019	Nikolai Kutev Tsviatko Rangelov
+	Blow up of solutions to ordinary differential equations arising in nonlinear dispersive problems	2018	Milena Dimova Natalia Kolkovska Nikolai Kutev
+ PDF Chat	Nonstandard potential well method and application to sixth order Boussinesq equation with Bernoulli type nonlinearity	2017	Natalia Kolkovska Milena Dimova Nikolai Kutev
+	Sharp Hardy Inequalities in Star-shaped Domains with Double Singular Kernels	2016	Alexander Fabricant Nikolai Kutev Tsviatko Rangelov
+	Stability or instability of solitary waves to double dispersion equation with quadratic-cubic nonlinearity	2016	Natalia Kolkovska Milena Dimova Nikolai Kutev
+ PDF Chat	Revised concavity method and application to Klein-Gordon equation	2016	Milena Dimova Natalia Kolkovska Nikolai Kutev
+	Sign-preserving functionals and blow-up to Klein–Gordon equation with arbitrary high energy	2015	Nikolai Kutev Natalia Kolkovska Milena Dimova
+	Generalized Nehari functionals and finite time blow up of the solutions to Boussinesq equation	2015	Natalia Kolkovska Milena Dimova Nikolai Kutev
+	Jump discontinuous viscosity solutions to second order degenerate elliptic equations	2014	Georgi Chobanov Bernd Kawohl Nikolai Kutev
+	Global behavior of the solutions to Boussinesq type equation with linear restoring force	2014	Nikolai Kutev Natalia Kolkovska Milena Dimova
+	Note on Sharp Hardy-Type Inequality	2013	Alexander Fabricant Nikolai Kutev Tsviatko Rangelov
+	Global existence to generalized Boussinesq equation with combined power-type nonlinearities	2013	Nikolai Kutev Natalia Kolkovska Milena Dimova
+ PDF Chat	Hardy-type inequality with double singular kernels	2013	Alexander Fabricant Nikolai Kutev Tsviatko Rangelov
+	Global solvability to generalized Boussinesq equation with Bernoulli type nonlinearities via nonstandard potential well method	2013	Nikolai Kutev Natalia Kolkovska Milena Dimova
+	Global existence of Cauchy problem for Boussinesq paradigm equation	2012	Nikolai Kutev Natalia Kolkovska Milena Dimova
+	A study on gradient blow up for viscosity solutions of fully nonlinear, uniformly elliptic equations	2012	Bernd Kawohl Nikolai Kutev
+	Interior Boundaries for Degenerate Elliptic Equations and Viscosity Solutions	2011	Georgi Chobanov Nikolai Kutev
+	Theoretical and Numerical Aspects for Global Existence and Blow Up for the Solutions to Boussinesq Paradigm Equation	2011	Nikolai Kutev Natalia Kolkovska Milena Dimova Christomir Christov Michail D. Todorov Christo I. Christov
+ PDF Chat	Minimal surfaces in<i>S</i><sup>3</sup>foliated by circles	2010	Nikolai Kutev Velichka Milousheva
+	Complete Integrability of a Nonlinear Elliptic System, Generating Bi-Umbilical Foliated Semi-Symmetric Hypersurfaces in $\R^4$	2010	Nikolai Kutev Velichka Milousheva
+	Minimal surfaces in $S^3$ foliated by circles	2010	Nikolai Kutev Velichka Milousheva
+	Positive solutions of the generalized Emden–Fowler equation in Hölder spaces	2008	Julia Chaparova Nikolai Kutev
+	Comparison Principle for Viscosity Solutions of Fully Nonlinear, Degenerate Elliptic Equations	2007	Bernd Kawohl Nikolai Kutev
+	The Asymptotic Behaviour of the First Eigenvalue of Linear Second-Order Elliptic Equations in Divergente Form	2007	Alexander Fabricant Nikolai Kutev Tsviatko Rangelov
+	Characteristic Dirichlet problem for linear parabolic equations	2006	Nikolai Kutev Alessandro Oliaro Petar Popivanov
+ PDF Chat	Viscosity solutions to the degenerate oblique derivative problem for fully nonlinear elliptic equations	2005	Petar Popivanov Nikolai Kutev
+	Diffraction problems for quasilinear reaction–diffusion systems	2003	G. Boyadjiev Nikolai Kutev
+	Diffraction problems for quasilinear elliptic and parabolic systems	2002	G. Boyadjiev Nikolai Kutev
+	Comparison Principle for Quasilinear Elliptic and Parabolic Systems	2002	G. Boyadjiev Nikolai Kutev
+	Gradient estimates, interior gradient blow ups and comparison principle of nonlinear pde’s	2000	Nikolai Kutev
+	Strong maximum principle for semicontinuous viscosity solutions of nonlinear partial differential equations	1998	Bernd Kawohl Nikolai Kutev
+	Maximum and comparison principle for one-dimensional anisotropic diffusion	1998	Bernd Kawohl Nikolai Kutev
+ PDF Chat	Existence and nonexistence for the exterior Dirichlet problem for the minimal surface equation in the plane	1998	Nikolai Kutev Friedrich Tomi
+ PDF Chat	Nonexistence and instability in the exterior Dirichlet problem for the minimal surface equation in the plane	1995	Nikolai Kutev Friedrich Tomi
+ PDF Chat	Nonlinear second-order elliptic equations with jump discontinuous coefficients. I. Quasilinear equations	1992	Nikolai Kutev Pierre Louis Lions
+	On the solvability of monge-ampere type equations in non-uniformly convex domains	1991	Nikolai Kutev
+	Nonexistence of classical solutions of the Dirichlet problem for fully nonlinear elliptic equations	1991	Nikolai Kutev
+	Monotony methods and minimal and maximal solutions for nonlinear ordinary differential equations	1991	Miglena N. Koleva Nikolai Kutev
+	On the solvability of the Dirichlet problem for degenerate equations of Monge-Ampere type	1989	Nikolai Kutev
+	On the Solvability of Equations with Prescribed Gauss Curvature Changing its Sign	1988	Petar Popivanov Nikolai Kutev
+ PDF Chat	Existence and nonexistence of classical solutions of the Dirichlet problem for a class of fully nonlinear nonuniformly elliptic equations	1987	Nikolai Kutev

Common Coauthors

Coauthor	Papers Together
Natalia Kolkovska	25
Milena Dimova	25
Tsviatko Rangelov	23
Bernd Kawohl	5
Alexander Fabricant	4
Petar Popivanov	3
Velichka Milousheva	3
G. Boyadjiev	3
Georgi Boyadzhiev	3
Friedrich Tomi	2
Georgi Chobanov	2
Michail D. Todorov	1
Christomir Christov	1
Christo I. Christov	1
Pierre Louis Lions	1
Miglena N. Koleva	1
Julia Chaparova	1
Alessandro Oliaro	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Saddle points and instability of nonlinear hyperbolic equations	1975	L. E. Payne D. H. Sattinger	12
+	Blow up and asymptotic behavior in a nondissipative nonlinear wave equation	2013	Jorge A. Esquivel‐Avila	10
+ PDF Chat	Further global nonexistence theorems for abstract nonlinear wave equations	1975	Brian Straughan	9
+	User’s guide to viscosity solutions of second order partial differential equations	1992	Michael G. Crandall Hitoshi Ishii Pierre-Louis Lions	9
+	Global solutions and finite time blow up for damped semilinear wave equations	2005	Filippo Gazzola Marco Squassina	9
+	The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types	1978	Varga Κ. Kalantarov O. A. Ladyzhenskaya	8
+	Cauchy problem of the generalized double dispersion equation	2005	Shubin Wang Guowang Chen	7
+	Global solutions and finite time blow up for damped Klein-Gordon equation	2013	Runzhang Xu Yunhua Ding	7
+	Existence and Nonexistence of Global Solutions for the Equation of Dislocation of Crystals	1998	Kaitai Li Zhang Quande	7
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	6
+	Nonexistence of global solutions to new ordinary differential inequality and applications to nonlineardispersive equations	2015	Nikolay Kutev Natalia Kolkovska Milena Dimova	6
+	Global existence to generalized Boussinesq equation with combined power-type nonlinearities	2013	Nikolai Kutev Natalia Kolkovska Milena Dimova	6
+ PDF Chat	Global behavior of the solutions to nonlinear Klein-Gordon equation with critical initial energy	2020	Milena Dimova Natalia Kolkovska Nikolai Kutev	6
+ PDF Chat	Instability and nonexistence of global solutions to nonlinear wave equations of the form 𝑃𝑢_{𝑡𝑡}=-𝐴𝑢+ℱ(𝓊)	1974	Howard A. Levine	6
+ PDF Chat	A sufficient condition for finite time blow up of the nonlinear Klein-Gordon equations with arbitrarily positive initial energy	2008	Yanjin Wang	5
+	Sharp conditions of global existence for nonlinear Schrödinger and Klein–Gordon equations	2002	Jian Zhang	5
+	Blowup of a positive-energy solution of model wave equations in nonlinear dynamics	2012	М. О. Корпусов	5
+ PDF Chat	Series expansion for L^p Hardy inequalities	2003	Achilles Tertikas Stathis Filippas Gerassimos Barbatis	5
+	On uniqueness and existence of viscosity solutions of fully nonlinear second‐order elliptic PDE's	1989	Hitoshi Ishii	5
+	The Hardy Inequality and the Asymptotic Behaviour of the Heat Equation with an Inverse-Square Potential	2000	Juan Luís Vázquez Enrique Zuazua	5
+	Global existence, blow up and asymptotic behaviour of solutions for nonlinear Klein–Gordon equation with dissipative term	2009	Runzhang Xu	4
+	Finite time blowup for nonlinear Klein–Gordon equations with arbitrarily positive initial energy	2017	Yanbing Yang Runzhang Xu	4
+	Potential well method for Cauchy problem of generalized double dispersion equations	2007	Yacheng Liu Runzhang Xu	4
+ PDF Chat	A review of Hardy inequalities	1999	E. B. Davies	4
+	Blow up of solutions to ordinary differential equations arising in nonlinear dispersive problems	2018	Milena Dimova Natalia Kolkovska Nikolai Kutev	4
+	Sobolev Spaces	1985	Vladimir G. Maz’ja	4
+	Global existence and nonexistence of solution for Cauchy problem of multidimensional double dispersion equations	2009	Runzhang Xu Yacheng Liu	4
+	A new conservative finite difference scheme for Boussinesq paradigm equation	2012	Natalia Kolkovska Milena Dimova	4
+	Sharp threshold of global existence and blow-up of the combined nonlinear Klein–Gordon equation	2019	Jing Lu Qianyun Miao	4
+	Uniform estimates for solutions of nonlinear Klein-Gordon equations	1985	Thierry Cazenave	4
+ PDF Chat	A unified approach to improved $L^p$ Hardy inequalities with best constants	2003	Gerassimos Barbatis Stathis Filippas Achilles Tertikas	4
+	The problem of dirichlet for quasilinear elliptic differential equations with many independent variables	1969	James Serrin	4
+ PDF Chat	Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation	1988	Jerry L. Bona Robert L. Sachs	4
+	Theoretical and Numerical Aspects for Global Existence and Blow Up for the Solutions to Boussinesq Paradigm Equation	2011	Nikolai Kutev Natalia Kolkovska Milena Dimova Christomir Christov Michail D. Todorov Christo I. Christov	4
+	The global Cauchy problem for the non linear Klein-Gordon equation	1985	J. Ginibre G. Velo	4
+	Cauchy problem of generalized Boussinesq equation with combined power-type nonlinearities	2011	Runzhang Xu	4
+	Existence of minimizers for Schroedinger operators under domain perturbations with application to Hard's inequality	2005	Yehuda Pinchover Kyril Tintarev	4
+	Viscosity solutions for monotone systems of second–order elliptic PDES	1991	Hitoshi Ishii Shigeaki Koike	4
+	The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations	1988	Robert Jensen	4
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	4
+	Weakly Coupled Elliptic Systems and Positivity	1995	Enzo Mitidieri Guido Sweers	3
+	Note on Sharp Hardy-Type Inequality	2013	Alexander Fabricant Nikolai Kutev Tsviatko Rangelov	3
+	Global existence of Cauchy problem for Boussinesq paradigm equation	2012	Nikolai Kutev Natalia Kolkovska Milena Dimova	3
+ PDF Chat	A uniqueness result for viscosity solutions of second order fully nonlinear partial differential equations	1988	R. Jensen Pierre‐Louis Lions Panagiotis E. Souganidis	3
+	Hardy Inequalities and Some Critical Elliptic and Parabolic Problems	1998	J.P. Garcı́a Azorero Ireneo Peral	3
+	Strong maximum principle for semicontinuous viscosity solutions of nonlinear partial differential equations	1998	Bernd Kawohl Nikolai Kutev	3
+ PDF Chat	A remark on strong maximum principle for parabolic and elliptic systems	1990	Xuefeng Wang	3
+ PDF Chat	BIow-up solutions of some nonlinear elliptic problems	1997	Juan Luís Vázquez Haı̈m Brezis	3
+	Existence and Bifurcation of Solutions for an Elliptic Degenerate Problem	1997	Henri Berestycki Maria J. Esteban	3
+ PDF Chat	Electron capture and scaling anomaly in polar molecules	2008	Pulak Ranjan Giri Kumar S. Gupta Stjepan Meljanac Andjelo Samsarov	3