Singular solutions of a nonlinear equation in bounded domains of \(\mathbb{R}^2\)

DOI10.1016/S0022-247X(02)00069-0zbMath1018.35036MaRDI QIDQ697444

Habib Maagli, Lamia Maatoug

Publication date: 17 September 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

existencepositive solutionsinfinitely many solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Boundary value problems for nonlinear higher-order PDEs (35G30)

Related Items (7)

Nonnegative solutions for a class of semipositone nonlinear elliptic equations in bounded domains of R^{n} ⋮ Existence and uniqueness of positive solution for some semipositone Schrödinger boundary value problems in bounded domains ⋮ Singular solutions of a nonlinear equation in a punctured domain of \(\mathbb{R}^{2}\) ⋮ Singular solutions of nonlinear Schrödinger problem in bounded piecewise dini-smooth Jordan domain ⋮ Existence of positive solutions for nonlinear boundary value problems in bounded domains of \(\mathbb R^n\) ⋮ Estimates for the Green function and existence of positive solutions for higher-order elliptic equations ⋮ BOUNDARY BEHAVIOR OF SUPERHARMONIC FUNCTIONS SATISFYING NONLINEAR INEQUALITIES IN A PLANAR SMOOTH DOMAIN

Cites Work

• Singular solutions of semilinear elliptic and parabolic equations
• Inequalities for Green functions in a Dini-Jordan domain in \(\mathbb{R}^2\)
• Brownian motion and harnack inequality for Schrödinger operators
• From Brownian Motion to Schrödinger’s Equation

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