Superlinear Dirichlet problems.

DOI10.1016/j.na.2003.10.021zbMath1100.35033OpenAlexW2067762255MaRDI QIDQ1426719

Aleksandra Orpel

Publication date: 15 March 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.10.021

zbMATH Keywords

Variational principleDuality methodElliptic Dirichlet problemEuler--Lagrange equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items (2)

Variational approach to semilinear elliptic equation with nonlinear boundary ⋮ Existence, stability and approximation of solutions for a certain class of nonlinear BVPs

Cites Work

• Critical point theory and Hamiltonian systems
• Entire solutions of semilinear elliptic equations
• Mixed boundary value problems for nonlinear elliptic equations with \(p\)-structure in nonsmooth domains
• Minimax theorems
• A strongly nonlinear elliptic equation having natural growth terms and \(L^1\) data
• Equivalent Norms for Sobolev Spaces
• Dependence on parameters for the Dirichlet problem with superlinear nonlinearities
• On the infinitely many positive solutions of a supercritical elliptic problem
• Multiple solutions of semilinear elliptic equations with one-sided growth conditions
• Existence and comparison results for quasilinear elliptic equations with critical growth in the gradient
• Existence and location of solutions to the Dirichlet problem for a class of nonlinear elliptic equations
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