Nontrivial solutions for the fractional Schrödinger‐Poisson system with subcritical or critical nonlinearities
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DOI: 10.1002/mma.6019
Abstract: In this paper, we are concerned with a class of fractional Schrödinger‐Poisson system involving subcritical or critical nonlinearities. By using the Nehari manifold and variational methods, we obtain the existence and multiplicity of nontrivial solutions. read more here.
Keywords: dinger poisson; fractional schr; critical nonlinearities; poisson system ... See more keywords
Fractional p-Laplacian Equations with Subcritical and Critical Exponential Growth Without the Ambrosetti–Rabinowitz Condition
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DOI: 10.1007/s00009-018-1115-y
Abstract: The main purpose of this paper is to investigate the existence of nontrivial solutions to a class of quasilinear non-local problems which do not satisfy the Ambrosetti–Rabinowitz (AR) condition where the nonlinear terms are superlinear… read more here.
Keywords: subcritical critical; ambrosetti rabinowitz; critical exponential; rabinowitz condition ... See more keywords
Solutions for a quasilinear Schrödinger equation: Subcritical and critical cases
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DOI: 10.1063/5.0142706
Abstract: In this paper, we establish the existence of standing wave solutions for quasilinear Schrödinger equations involving nonlinearity with subcritical and critical growth. To apply the variational method and circumvent the “lack of compactness” of the… read more here.
Keywords: solutions quasilinear; quasilinear schr; differ equations; subcritical critical ... See more keywords