Positive solution for nonlinear elliptic equations on symmetric domains

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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Existence of a positive solution for problems with \((p,q)\)-Laplacian and convection term in \(\mathbb R^N\)
Slowly decaying radial solutions of an elliptic equation with subcritical and supercritical exponents
Existence of a ground state solution for an elliptic problem with critical growth in an exterior domain
On supercritical Sobolev type inequalities and related elliptic equations
Lebesgue and Sobolev spaces with variable exponents
Existence of a ground state solution for a nonlinear scalar field equation with critical growth
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The principle of symmetric criticality
Orlicz spaces and modular spaces
Symmetry of mountain pass solutions of some vector field equations
Positive solutions for some quasilinear equations with critical and supercritical growth
On exterior Neumann problems with an asymptotically linear nonlinearity
Functional analysis, Sobolev spaces and partial differential equations
Positive solutions of some nonlinear elliptic problems in exterior domains
Critical point theory and Hamiltonian systems
Combined effects of concave and convex nonlinearities in some elliptic problems
Existence of many nonequivalent nonradial positive solutions of semilinear elliptic equations on three-dimensional annuli
Ground states of semilinear elliptic equations: A geometric approach
A positive bound state for an asymptotically linear or superlinear Schrödinger equation in exterior domains
Existence of a positive solution for a class of elliptic problems in exterior domains involving critical growth
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On the uniqueness of solutions of a semilinear equation in an annulus
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Positive solutions of nonlinear elliptic equations involving supercritical Sobolev exponents without Ambrosetti and Rabinowitz condition
A strong maximum principle for some quasilinear elliptic equations
Ground state solutions to nonlinear equations with \(p\)-Laplacian
Positive solutions of quasilinear elliptic equations with exponential nonlinearity combined with convection term
Uniqueness of positive radial solutions for Dirichlet problems on annular domains
On a Yamabe-type problem on a three-dimensional thin annulus
Linear and quasilinear elliptic equations
Uniqueness of positive radial solutions of a semilinear Dirichlet problem in an annulus
Comparison and Positive Solutions for Problems with the (p, q)-Laplacian and a Convection Term
Multiple Constant Sign and Nodal Solutions for Nonlinear Neumann Eigenvalue Problems
Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
Boundary regularity for solutions of degenerate elliptic equations
Nonsymmetric ground states of symmetric variational problems
On symmetric solutions of an elliptic equation with a nonlinearity involving critical Sobolev exponent
Normalized solutions of mass supercritical Schrödinger equations with potential
Multiple solutions for some quasilinear Neumann problems in exterior domains
Compact imbedding theorems with symmetry of Strauss-Lions type for the space \(W^{1,p(x)}(\Omega)\)

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