Infinitely many small solutions for the \( p (x)\)-Laplacian operator with nonlinear boundary conditions
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Publication:1944682
DOI10.1007/s10231-011-0209-yzbMath1266.35093OpenAlexW2027653791MaRDI QIDQ1944682
Publication date: 26 March 2013
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-011-0209-y
nonlinear boundary conditionsconcentration-compactness principle\(p(x)\)-Laplaciangeneralized Lebesgue-Sobolev spaces
Critical exponents in context of PDEs (35B33) Quasilinear elliptic equations (35J62) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)
Related Items
On 2-microlocal spaces with all exponents variable ⋮ Infinitely many solutions for differential inclusion problems in \(\mathbb R^N\) involving the \(p(x)\)-Laplacian ⋮ On some singular problems involving the fractional p(x,.) -Laplace operator ⋮ Existence results for a class of p(x)-Kirchhoff-type equations with critical growth and critical frequency ⋮ Existence and multiplicity of solutions for critical nonlocal equations with variable exponents ⋮ Small perturbations of critical nonlocal equations with variable exponents ⋮ Nonlocal Neumann problem with critical exponent from the point of view of the trace ⋮ Atomic and molecular decompositions in variable exponent 2-microlocal spaces and applications ⋮ The fibering map approach to a nonlocal problem involving \(p(x)\)-Laplacian ⋮ Variable exponent Besov-Morrey spaces ⋮ On a nonlocal nonhomogeneous Neumann boundary problem with two critical exponents
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