K. J. Brown

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All published works

Action	Title	Year	Authors
+ PDF Chat	A fibering map approach to a potential operator equation and its applications	2009	K. J. Brown Tsung‐fang Wu
+	Local and global bifurcation results for a semilinear boundary value problem	2007	K.J. Brown
+	A FIBERING MAP APPROACH TO A SEMILINEAR ELLIPTIC BOUNDARY VALUE PROBLEM	2007	K.J. Brown Tsung‐fang Wu
+	A semilinear elliptic system involving nonlinear boundary condition and sign-changing weight function	2007	K.J. Brown Tsung‐fang Wu
+	Positive mountain pass solutions for a semilinear elliptic equation with a sign-changing weight function	2005	G. A. Afrouzi K.J. Brown
+	The Nehari manifold for a semilinear elliptic equation involving a sublinear term	2004	K.J. Brown
+	The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function	2003	K.J. Brown Yanping Zhang
+	On a system of reaction–diffusion equations describing a population with two age groups	2003	K.J. Brown Yanping Zhang
+ PDF Chat	Unbounded principal eigenfunctions for problems on all ${\bf R}^N$	2001	G. A. Afrouzi K.J. Brown
+	Positive solutions for a semilinear elliptic problem with sign-changing nonlinearity	1999	G. A. Afrouzi K.J. Brown
+ PDF Chat	On principal eigenvalues for boundary value problems with indefinite weight and Robin boundary conditions	1999	G. A. Afrouzi K.J. Brown
+	On a Diffusive Logistic Equation	1998	G. A. Afrouzi K.J. Brown
+	On the construction of super and subsolutions for elliptic equations on all of N	1998	K.J. Brown Nikos M. Stavrakakis
+	Global bifurcation results for a semilinear elliptic equation on all of ℝN	1996	K.J. Brown Nikos M. Stavrakakis
+	Global bifurcation in the Brusselator system	1995	K.J. Brown Fordyce A. Davidson
+	Change of stability for Schrödinger semigroups	1995	K.J. Brown Daniel Daners Julián López-Gómez
+ PDF Chat	Sub- and supersolutions for semilinear elliptic equations on all of $\mathbb{R}^n$	1994	K. J. Brown Nikos M. Stavrakakis
+	The existence of principal eigenvalues for problems with indefinite weight function on ℝ<sup><i>k</i></sup>	1993	K.J. Brown Achilles Tertikas
+	On the Bifurcation of Radially Symmetric Steady-State Solutions Arising in Population Genetics	1991	K. J. Brown Achilles Tertikas
+	Positive periodic solutions of predator-prey reaction-diffusion systems	1991	K.J. Brown P. Hess
+	Instability of nonnegative solutions for a class of semipositone problems	1991	K. J. Brown R. Shivaji
+	Principal Eigenvalues for Problems with Indefinite Weight Function on R N	1990	K. J. Brown C. Cosner J. Fleckinger
+ PDF Chat	Principal eigenvalues for problems with indefinite weight function on 𝑅ⁿ	1990	K.J. Brown Chris Cosner Jacqueline Fleckinger
+ PDF Chat	Stability and uniqueness of positive solutions for a semi-linear elliptic boundary value problem	1990	K. J. Brown P. Hess
+	On a semilinear parabolic equation arising in optical bistability	1989	K.J. Brown Achilles Tertikas
+	Existence and nonexistence of steady-state solutions for a selection-migration model in population genetics	1989	K.J. Brown S. S. Lin Achilles Tertikas
+ PDF Chat	Nonexistence of radially symmetric nonnegative solutions for a class of semi-positone problems	1989	K. J. Brown Alfonso Castro R. Shivaji
+	Nontrivial solutions of predator–prey systems with small diffusion	1987	K.J. Brown
+	Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations	1986	Josep Blat K. J. Brown
+	A reaction‐diffusion system modelling the spread of bacterial infections	1986	Josep Blat K.J. Brown K. P. Hadeler
+	Convergence to equilibrium in a reaction-diffusion system	1984	Peter W. Bates K.J. Brown
+	Bifurcation of steady-state solutions in predator-prey and competition systems	1984	Josep Blat K. J. Brown
+	Spatially inhomogeneous steady state solutions for systems of equations describing interacting populations	1983	K.J. Brown
+	Simple proofs of some results in perturbed bifurcation theory	1982	K. J. Brown R. Shivaji
+	Bifurcation, stability diagrams, and varying diffusion coefficients in reaction-diffusion equations	1982	K.J. Brown J. C. Eilbeck
+	S-shaped bifurcation curves	1981	K.J. Brown M.M.A. Ibrahim R. Shivaji
+	On the existence of positive eigenfunctions for an eigenvalue problem with indefinite weight function	1980	K.J. Brown S. S. Lin
+	Periodically perturbed conservative systems and a global inverse function theorem	1980	K.J. Brown S. S. Lin
+	On the Existence of Positive Solutions for a Class of Semilinear Elliptic Boundary Value Problems	1979	K. J. Brown Harun Budin
+	Monotone techniques and semilinear elliptic boundary value problems	1978	K. J. Brown Shiu‐Shin Lin
+	Multiple positive solutions for a class of nonlinear boundary value problems	1977	K.J. Brown Harun Budin
+	Deterministic epidemic waves of critical velocity	1977	K.J. Brown J. Carr
+	Nonlinear boundary value problems and a global inverse function theorem	1975	K.J. Brown
+ PDF Chat	A completeness theorem for a nonlinear problem	1974	K. J. Brown
+	A Symmetric Operator Maximal with Respect to a Generalised Resolution of the Identity	1974	K.J. Brown
+	SOME OPERATOR EQUATIONS WITH AN INFINITE NUMBER OF SOLUTIONS	1974	K.J. Brown
+	Eigenfunction Expansions for Symmetric Operators	1973	K.J. Brown
+	9.—On Relatively Bounded Perturbations	1973	K. J. Brown
+	V.— On the Spectrum of Second Order Partial Differential Operators.	1970	K. J. Brown I. M. Michael

Common Coauthors

Coauthor	Papers Together
G. A. Afrouzi	5
R. Shivaji	4
Achilles Tertikas	4
S. S. Lin	3
Josep Blat	3
Nikos M. Stavrakakis	3
Tsung‐fang Wu	3
Harun Budin	2
Yanping Zhang	2
P. Hess	2
Chris Cosner	1
J. Carr	1
Daniel Daners	1
Alfonso Castro	1
K. P. Hadeler	1
Shiu‐Shin Lin	1
Jacqueline Fleckinger	1
Fordyce A. Davidson	1
J. Fleckinger	1
Julián López-Gómez	1
I. M. Michael	1
C. Cosner	1
J. C. Eilbeck	1
M.M.A. Ibrahim	1
Peter W. Bates	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On some linear and nonlinear eigenvalue problems with an indefinite weight function	1980	Peter Heß Tosio Kato	9
+	Bifurcation from simple eigenvalues	1971	Michael G. Crandall Paul H. Rabinowitz	9
+	Some global results for nonlinear eigenvalue problems	1971	Paul H. Rabinowitz	8
+	Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces	1976	Herbert Amann	8
+	Existence and nonexistence of steady-state solutions for a selection-migration model in population genetics	1989	K.J. Brown S. S. Lin Achilles Tertikas	6
+ PDF Chat	Principal eigenvalues for problems with indefinite weight function on 𝑅ⁿ	1990	K.J. Brown Chris Cosner Jacqueline Fleckinger	5
+	Nonlinear boundary value problems suggested by chemical reactor theory	1970	Donald S. Cohen Theodore W. Laetsch	5
+	On Neumann boundary value problems for some quasilinear elliptic equations	1997	Paul Binding Pavel Drábek Yin Xi Huang	5
+	Principal Eigenvalues for Problems with Indefinite Weight Function on R N	1990	K. J. Brown C. Cosner J. Fleckinger	5
+ PDF Chat	Symmetry and related properties via the maximum principle	1979	Basilis Gidas Wei‐Ming Ni Louis Nirenberg	5
+	Principal Eigenvalues for Indefinite-Weight Elliptic Problems in R n	1992	W. Allegretto	5
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	5
+	On the existence of positive eigenfunctions for an eigenvalue problem with indefinite weight function	1980	K.J. Brown S. S. Lin	5
+	Maximum Principles in Differential Equations	1984	Murray H. Protter Hans F. Weinberger	5
+	Positive solutions for the <i>p</i>-Laplacian: application of the fibrering method	1997	Pavel Drábek Stanislav I. Pohožaev	4
+	The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function	2003	K.J. Brown Yanping Zhang	4
+ PDF Chat	Principal eigenvalues for indefinite-weight elliptic problems in 𝑅ⁿ	1992	W. Allegretto	4
+	Bifurcation of steady-state solutions in predator-prey and competition systems	1984	Josep Blat K. J. Brown	3
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	3
+	On conformal scalar curvature equations in ℝn	1988	Yi Li Wei‐Ming Ni	3
+	On the Bifurcation of Radially Symmetric Steady-State Solutions Arising in Population Genetics	1991	K. J. Brown Achilles Tertikas	3
+ PDF Chat	The smallest characteristic numbers in a certain exceptional case	1914	Maxime Bôcher	3
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	3
+	Some analytical results about a simple reaction-diffusion system for morphogenesis	1979	Franz Rothe	3
+	Variational methods for indefinite superlinear homogeneous elliptic problems	1995	Henri Berestycki Italo Capuzzo-Dolcetta Louis Nirenberg	3
+	MAXIMUM PRINCIPLES IN DIFFERENTIAL EQUATIONS	1969	D. E. Edmunds	3
+ PDF Chat	Principal Eigenvalues with Indefinite Weight Functions	1997	Zhiren Jin	2
+ PDF Chat	Stability and uniqueness of positive solutions for a semi-linear elliptic boundary value problem	1990	K. J. Brown P. Hess	2
+ PDF Chat	Non-negative solutions for a class of non-positone problems	1988	Alfonso Castro R. Shivaji	2
+	A SEMILINEAR ELLIPTIC PROBLEM INVOLVING NONLINEAR BOUNDARY CONDITION AND SIGN-CHANGING POTENTIAL	2006	Tsung‐fang Wu	2
+ PDF Chat	The Number of Solutions of a Nonlinear Two Point Boundary Value Problem	1970	Theodore W. Laetsch	2
+	Existence and multiplicity theorems for semi-linear elliptic boundary value problems	1976	Herbert Amann	2
+	Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems	1975	Michael G. Crandall Paul H. Rabinowitz	2
+	The existence of principal eigenvalues for problems with indefinite weight function on ℝ<sup><i>k</i></sup>	1993	K.J. Brown Achilles Tertikas	2
+ PDF Chat	Stability and bifurcation of steady-state solutions for predator-prey equations	1982	Edward D. Conway Rod Gardner Joel Smoller	2
+ PDF Chat	On positive solutions of some pairs of differential equations	1984	E. N. Dancer	2
+	Monotone schemes for semilinear elliptic systems related to ecology	1982	Anthony W. Leung Paul H. Rabinowitz	2
+	Positive solutions of nonlinear elliptic equations involving critical sobolev exponents	1983	Haı̈m Brezis Louis Nirenberg	2
+	On harnack type inequalities and their application to quasilinear elliptic equations	1967	Neil S. Trudinger	2
+	A convex–concave problem with a nonlinear boundary condition	2003	Jesús García-Azorero Ireneo Peral Julio D. Rossi	2
+ PDF Chat	On a class of nonlinear second-order differential equations	1960	Zeev Nehari	2
+	Spatially inhomogeneous steady state solutions for systems of equations describing interacting populations	1983	K.J. Brown	2
+	On nonlocal existence results for elliptic equations with convex–concave nonlinearities	2005	Yavdat Il’yasov	2
+	Existence and uniqueness of solutions for a nonlinear diffusion problem arising in population genetics	1988	Achilles Tertikas	2
+	A Priori Bounds and Multiple Solutions for Superlinear Indefinite Elliptic Problems	1998	Herbert Amann Julián López-Gómez	2
+	On positive solutions of a linear elliptic eigenvalue problem with neumann boundary conditions	1982	Stefan Senn Peter Heß	2
+	On the principal eigenvalue of a periodic-parabolic operator	1984	Alex Beltramo Peter Heß	2
+	Methods of Bifurcation Theory	1982	Shui-Nee Chow Jack K. Hale	2
+	Some Bifurcation Theory for <i>k</i> -Set Contractions	1973	C. A. Stuart	2
+	A mathematical model for pattern formation in biological systems	1981	G Catalano J. C. Eilbeck Alberto Monroy Emmanuele Parisi	2