Sign-changing solutions for semilinear elliptic equations with dependence on the gradient via the Nehari method

DOI10.1007/s00009-017-0945-3zbMath1377.35068OpenAlexW2621288562MaRDI QIDQ1674228

Yucheng Wei, Shaoyun Shi, Guanggang Liu

Publication date: 1 November 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-017-0945-3

zbMATH Keywords

semilinear elliptic equationsNehari methodsign-changing solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Semilinear elliptic equations (35J61)

Related Items (3)

Nodal solutions of semi-linear elliptic equations with dependence on the gradient ⋮ Existence of solution to Kirchhoff type problem with gradient nonlinearity and a perturbation term ⋮ On a degenerate \(p\)-fractional Kirchhoff equations involving critical Sobolev-Hardy nonlinearities

Cites Work

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• A variational approach to a class of quasilinear elliptic equations not in divergence form
• Positive solutions of quasi-linear elliptic equations with dependence on the gradient
• A semilinear elliptic PDE not in divergence form via variational methods
• Characteristic values associated with a class of nonlinear second-order differential equations
• Quasilinear equations with dependence on the gradient
• Semilinear elliptic equations with dependence on the gradient via mountain-pass techniques.
• A singular semilinear problem with dependence on the gradient
• Semilinear elliptic variational inequalities with dependence on the gradient via mountain pass techniques
• A priori estimates and existence of positive solutions for strongly nonlinear problems
• Existence of multiple solutions to nonlinear elliptic equations of nondivergence form
• Existence of positive solutions for a nonlocal problem with dependence on the gradient
• Quasilinear equations with dependence on the gradient via mountain pass techniques in \(\mathbb R^N\)
• Positive solution for a superlinear Kirchhoff type problem with a parameter
• Solutions for Quasilinear Schrödinger Equations via the Nehari Method
• Some existence theorems for equations of the form
• A note on the solvability in for the equation −Δu = f(x, u, Du)
• On Variational Inequalities Driven by Elliptic Operators Not in Divergence Form

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